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A009515
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E.g.f. sin(x*tan(x)) (even powers only).
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2
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0, 2, 8, -24, -4544, -333920, -26272896, -2354853760, -233143441408, -22905309777408, -1339233237800960, 428177363623094272, 310125853369485017088, 153488683972244927062016, 72759436391841580585680896
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OFFSET
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0,2
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LINKS
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Table of n, a(n) for n=0..14.
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FORMULA
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a(n)=(sum(m=0..n-1/2, binomial(2*n,2*m+1)*(sum(j=2*m+1..2*n-2*m-1, binomial(j-1,2*m)*j!*(-1)^(n+m+j)*2^(2*n-2*m-j-1)*stirling2(2*n-2*m-1,j))))). - Vladimir Kruchinin, Jun 23 2011
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MATHEMATICA
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terms = 15;
egf = Sin[x*Tan[x]] + O[x]^(2 terms + 1) ;
Partition[CoefficientList[egf, x] * Range[0, 2 terms]!, 2][[All, 1]] (* Jean-François Alcover, Sep 24 2019 *)
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PROG
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(Maxima)
a(n):=(sum(binomial(2*n, 2*m+1)*(sum(binomial(j-1, 2*m)*j!*(-1)^(n+m+j)*2^(2*n-2*m-j-1)*stirling2(2*n-2*m-1, j), j, 2*m+1, 2*n-2*m-1)), m, 0, n-1/2)); /* Vladimir Kruchinin, Jun 23 2011 */
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CROSSREFS
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Sequence in context: A331001 A050971 A118855 * A309088 A070944 A278836
Adjacent sequences: A009512 A009513 A009514 * A009516 A009517 A009518
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KEYWORD
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sign
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AUTHOR
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R. H. Hardin
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EXTENSIONS
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Extended with signs by Olivier Gérard, Mar 15 1997
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STATUS
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approved
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